Search a number
-
+
22000111211112 = 23318123173218551
BaseRepresentation
bin1010000000010010011001…
…10100000101001001101000
32212220012010120120110120220
411000021030310011021220
510340422211432223422
6114442413410450040
74430312156554416
oct500111464051150
985805116513526
1022000111211112
117012216267431
122573928893920
13c377a88b57a8
14560b4d7ba2b6
152824179cee5c
hex14024cd05268

22000111211112 has 64 divisors (see below), whose sum is σ = 55306786604160. Its totient is φ = 7292506464000.

The previous prime is 22000111211033. The next prime is 22000111211129. The reversal of 22000111211112 is 21111211100022.

It is a happy number.

It is a super-2 number, since 2×220001112111122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22000111211091 and 22000111211100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100554237 + ... + 100772787.

It is an arithmetic number, because the mean of its divisors is an integer number (864168540690).

Almost surely, 222000111211112 is an apocalyptic number.

It is an amenable number.

22000111211112 is an abundant number, since it is smaller than the sum of its proper divisors (33306675393048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22000111211112 is a wasteful number, since it uses less digits than its factorization.

22000111211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241914 (or 241910 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 22000111211112 its reverse (21111211100022), we get a palindrome (43111322311134).

The spelling of 22000111211112 in words is "twenty-two trillion, one hundred eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 181 362 543 724 1086 1448 2172 4344 23173 46346 69519 92692 139038 185384 218551 278076 437102 556152 655653 874204 1311306 1748408 2622612 4194313 5245224 8388626 12582939 16777252 25165878 33554504 39557731 50331756 79115462 100663512 118673193 158230924 237346386 316461848 474692772 949385544 5064482323 10128964646 15193446969 20257929292 30386893938 40515858584 60773787876 121547575752 916671300463 1833342600926 2750013901389 3666685201852 5500027802778 7333370403704 11000055605556 22000111211112